Presentation on theme: "How can we solve fractional equations? Do now: Solve for x What steps did you use to solve?"— Presentation transcript:
How can we solve fractional equations? Do now: Solve for x What steps did you use to solve?
Reminders about fractions To add or subtract we need common denominators We can cross multiply when an equation is in the following form: This works only if there is nothing in the equation but the two fractions. Ex.NOYES
So how can we actually solve these equations? There are a few ways to do so. One way is to cross multiply. 1) Convert the problem into nothing but fractions on either side by addition or subtraction with common denominators 2) Cross multiply 3) Solve for the variable 4) Check
Example First get common denominators so we can add. Cross multiply Solve for x Check
Is there another way to do this? Yes, instead of rewriting everything into fractions, look for the LCD of all fractions and rational expressions Next multiply through by this LCD Now you can solve like normal MAKE SURE YOU CHECK YOUR ANSWERS!!!
Example LCD is x 2 Multiply BOTH SIDES by the LCD Solve Check